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Finding the Third Proportional to 94,240 and 204,836

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Solution

The third proportional to 94,240 and 204,836 is: 445,222.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,240 : 204,836 = 204,836 : x
  2. Step 2: Convert to fraction form
    94,240/204,836 = 204,836/x
  3. Step 3: Cross multiply
    94,240x = 204,836 × 204,836
  4. Step 4: Simplify right side
    94,240x = 41,957,786,896
  5. Step 5: Solve for x
    x = 41,957,786,896/94,240
  6. Step 6: Final answer
    x = 445,222.70

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.